GCD of 363, 148, 54, 660 Calculator

Given Input numbers are 363, 148, 54, 660

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 363, 148, 54, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 148, 54, 660 is 1.

Therefore, GCD of numbers 363, 148, 54, 660 is 1

Given Input Data is 363, 148, 54, 660

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(363, 148) = 53724

GCD(363, 148) = ( 363 x 148 ) / 53724

GCD(363, 148) = 53724 / 53724

GCD(363, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 363, 148, 54, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 424, 11, 339
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• GCD of 179, 333, 73, 384

1. What is the GCD of 363, 148, 54, 660?

GCD of 363, 148, 54, 660 is 1

2. Where do I get the detailed procedure to find GCD of 363, 148, 54, 660?

You can find a detailed procedure to find GCD of 363, 148, 54, 660 on our page.

3. How to find GCD of 363, 148, 54, 660 on a calculator?

You can find the GCD of 363, 148, 54, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.